3x2squared plus bx-5 equals 0

Answer 1

3x2 + bx - 5 = 0

∴ 3x2 + bx = 5

∴ x2 + bx/3 = 5/3

∴ x2 + bx/3 + (b/6)2 = 5/3 + (b/6)2

∴ (x + b/6)2 = (45 + b2) / 36

∴ x + b/6 = ±[(45 + b2) / 36]1/2

∴ x = [-b ± (45 + b2)1/2] / 6